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The phrase "we discussed this problem" is correct and usable in written English.
You can use it when referring to a conversation or meeting where a specific issue was addressed or analyzed. Example: "During our last meeting, we discussed this problem and came up with several potential solutions."
Exact(3)
We discussed this problem of Al Qaeda-inspired kidnappers with our consultant, pointing out that, if we got unlucky in Iraq, we were as likely to be dealing with an ideologically motivated adversary as with a greedy one.
We discussed this problem with the members of the studies' advisory board and decided to decrease the minimum age of study participants from 75 years to 65 years.
We discussed this problem with the developers of the original VISA-A questionnaire by E-mail who cleared this issue: if someone is just recovering from Achilles tendinopathy, (s)he may be on reduced training at first, say 15 minutes necessitating further answer categories (Karim Khan personal communication, 2009).
Similar(57)
In this paper, we discuss this problem.
In this section, we discuss this problem.
We discuss this problem from a polyhedral point of view.
We discuss this problem in three cases according to the position of O. I. O is outside (triangle ABC).
We discuss this problem in the genus Laupala, a morphologically cryptic, flightless group of crickets that has radiated in Hawaii.
We discuss this problem later in this paper.
We have discussed this problem with multiple brain trusts and no one has the solution yet.
Reference [5] also discussed this problem.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com